Need some help with a linear programming problem.

Hope this is the correct section.

Anyway I need some help from you fine folks.

My problem:

A call centre company has two types of employees - Sales and Service employees. The Company has office space for only 50 employees but there must always be at least 10 Sales and 12 Service employees on duty at one time. A sales employee wages are €9 per hour and service €6 per hour. The total hourly wage bill for all employees which the company can afford is limited to €360. The profit to the company for employing a Sales employee is estimated as €300 per hour and service €210 per hour.

What I need to do is:A) formulate this information as a linear programming problem.

B) Find the number of each employee type which the company should employ to maximise profit and calculate the profit.

I only need help on part A as I just cannot wrap my head around these word problems

Re: Need some help with a linear programming problem.

Originally Posted by SirKillsalot

Well I have gotten as far as writing this on my own:

x= Sales
y= Service

x>=10 x+y<=50
y>=12

That's a good start. You also need to know which function to maximise (the profit function) that I mentioned earlier. You also have another constraint that is to do with how much money can be spent by the company. Can you write this constraint as an inequality?